2054322859680 has 1152 divisors, whose sum is σ = 9160807622400. Its totient is φ = 426059440128.

The previous prime is 2054322859679. The next prime is 2054322859753. The reversal of 2054322859680 is 869582234502.

2054322859680 is a `hidden beast` number, since 2 + 0 + 5 + 43 + 2 + 2 + 8 + 596 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 162352234 + ... + 162364886.

It is an arithmetic number, because the mean of its divisors is an integer number (7952089950).

Almost surely, 2^{2054322859680} is an apocalyptic number.

2054322859680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2054322859680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580403811200).

2054322859680 is an abundant number, since it is smaller than the sum of its proper divisors (7106484762720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2054322859680 is a wasteful number, since it uses less digits than its factorization.

2054322859680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12763 (or 12742 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 2054322859680 in words is "two trillion, fifty-four billion, three hundred twenty-two million, eight hundred fifty-nine thousand, six hundred eighty".